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GMAT Sample Questions » GMAT Sample Problem Soving Ability

# Quantitative Section : GMAT Sample Problem Solving Ability

Choose the correct answer from the given five options by solving the following quantitative questions.

1. What will be the result of [10] – [3], if it is given that [x] = -x2.

1. -91
2. 100
3. 10
4. 7
5. None of the above

Explanation:

According to the data given in question, [x] = -x2.

Substituting the value of x as x=10 in this equation, we get, [10] = -100

Now, substituting the value of x as x=3 in this equation, we get, [3] = -9

Now, substituting these values in [10] – [3] = (-100) – (-9) = -100 + 9 = -91

Hence, the correct answer is option a.

2. The annual income of Ralph is 25 percent less than the annual income of Mike. Calculate the increase in the annual income of Mike in terms of percentage as compared to Ralph.

1. 10
2. 20
3. 30
4. 40
5. None of the above

Explanation:

Let \$100 be the annual income of Mike.

Now, according to the data given in the question, annual income of Ralph is less than the annual income of Mike by 25 percent.

∴ 25% of 100 = 25

Hence, we can say that the annual income of Ralph is \$75, when annual income of Mike is \$100.

But, we have to find the percentage increase in the annual income of Mike as compared to annual income of Ralph.

∴ Percentage increase in annual income of Mike = 100-75 = 25%.

But, neither of the given options represents this value.

Hence, the correct answer is option e.

3. There are in all 31 balls in a basket, which are red and green in color. The number of red balls is 15 and the number of green balls is 16. Raven is said to pick a ball that is only red in color. Find out the probability that Raven picks out only a red color ball from this bag.

1. 16/31
2. 15/31
3. 31/15
4. 31/16
5. None of the above

Explanation:

According to the data given in the question, the bag contains 31 balls in all.

Total number of red balls in the bag = 15

Total number of green balls in the bag = 16

∴ The probability that Raven picks out only a red colored ball = 15/31

Hence, the correct answer is option b.

4. There was a trial going on in a laboratory. Students were doing an experiment. This experiment showed that the probability of a bird flies away when the cage is opened is 7/10. It was also observed that the bird that flew away also comes back is 1/5. You have to calculate the probability that when the cage is opened a bird not only flies away but also comes back.

1. 7/10
2. 3/10
3. 1/5
4. 7/50
5. None of the above

Explanation:

According to the data given in the question,

The probability that a bird flies away when the cage is opened = 7/10.

The probability that a bird that flew away also comes back = 1/5.

We know that, the probability that two events will take place simultaneously is denoted by the product of the individual occurrences of each of the different events.

∴ The probability that the two events will take place at one and the same time = 7/10 * 1/5 = 7/50

Hence, the correct answer is option d.

5. There are in all 10 children which are to be divided into a team of exactly 5 members in it. Find the possible number of outcomes such that there are 5 different children in the team of 5.

1. 120
2. 234
3. 252
4. 1512
5. 30240

Explanation:

Total number of children = 10

Total number of children in a team = 5

∴ The total number of all possible outcomes = 10*9*8*7*6 = 30240

Now, to find out the total of number of outcomes such that the team consists of exactly 5 different children can be obtained by dividing the total number of outcomes i.e. 30240 by 5!

This, is so because, the team must contain exactly 5 children in it.

∴ Possible combinations = (10*9*8*7*6)/(5*4*3*2*1)

∴ Possible combinations = (30240)/(120)

∴ Possible combinations = 252

Hence, the correct answer is option c.

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GMAT Sample Problem Solving Ability Question Number : 1-5 | 6-10 | 11-15 | 16-20 | 21-25 | 26-30 | 31-35 | 36-40 | 41-45 | 46-50 | 51-55 | 56-60 | 61-65 | 66-70 | 71-75 | 76-80 | 81-85 | 86-90 | 91-95 | 96-100 | 101-105 | 106-110 | 111-115 | 116-120 | 121-125
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